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1006833133093 is a prime number
BaseRepresentation
bin11101010011010111110…
…11100110011000100101
310120020210221011112220111
432221223323212120211
5112443443240224333
62050311024133021
7132512156265604
oct16515373463045
93506727145814
101006833133093
11358aa5067a27
1214316a467171
1373c36b48568
1436a33b67a3b
151b2cb5bd4cd
hexea6bee6625

1006833133093 has 2 divisors, whose sum is σ = 1006833133094. Its totient is φ = 1006833133092.

The previous prime is 1006833133079. The next prime is 1006833133147. The reversal of 1006833133093 is 3903313386001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 899155304644 + 107677828449 = 948238^2 + 328143^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006833133093 - 233 = 998243198501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006833133693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503416566546 + 503416566547.

It is an arithmetic number, because the mean of its divisors is an integer number (503416566547).

Almost surely, 21006833133093 is an apocalyptic number.

It is an amenable number.

1006833133093 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006833133093 is an equidigital number, since it uses as much as digits as its factorization.

1006833133093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 104976, while the sum is 40.

The spelling of 1006833133093 in words is "one trillion, six billion, eight hundred thirty-three million, one hundred thirty-three thousand, ninety-three".